Teaching Through Problem-solving in Mathematics

Why is "Teaching Through Problem-solving" in mathematics important for children today?

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The reason lies in nurturing their ability to make self-discoveries and foster creativity. Math encourages children to try things out for themselves, and it excels in teaching the joy of finding new discoveries and abilities.

Math problems serve as a practice ground for forming logical thoughts. It may seem efficient to demonstrate solutions by teaching fixed formulas at first glance. However, this can potentially cause a deadlock in thinking, like saying "I can't solve it because I wasn't taught" when children encounter a shape for the first time and can't directly apply the learned formula.

Consider, for example, how to find the area of a rectangle. Initially, you start by simply counting the squares, but gradually you can determine the area by multiplying the number of squares. As you progress, you'll encounter seemingly complex shapes like the L-shaped figure and parallelogram. Here, you might be puzzled, thinking, "I don't know because I wasn't taught the formula."

However, the time is set aside to encourage the discovery that by dividing and rearranging each shape, it can be treated as a known rectangle. Through this, children cultivate the ability to find solutions for themselves, rather than memorizing formulas corresponding to each shape.

By valuing the process of thinking and discovering for oneself rather than teaching formulas from the beginning, children gain the ability to find solutions on their own even when faced with unknown problems.　We call this educational method TTP (Teaching Thought Problem solving).

What is "Teaching Through Problem-solving" in mathematics?

"Teaching Through Problem-Solving" is a teaching approach that uses problem-solving as a means of education.

The purpose of this approach is to promote deeper learning by having learners face authentic problems and solve them on their own.

With this approach, learners can improve their self-learning ability by analyzing problems, thinking of solutions, and evaluating them on their own. By learning through problem-solving, learners can better understand and internalize new knowledge.

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TTP

What is the Japanese approach to problem-solving education?

With Japanese teaching style, the teachers do not immediately teach how to solve a problem but rather allows students to think about the problem on their own and lead them to the answer. When students experience a solution process based on their own ideas, rather than being taught and memorizing, their understanding changes.

The study of Dr. Takahashi

Dr. Takahashi, a professor at DePaul University in Chicago, conducted a study on the effectiveness of Japanese problem-solving math lessons at a public school in California. The transition to this style was proven to be effective in improving math scores.

What we are developing

Dr. Takahashi and LoiLo are creating digital teaching materials by adapting Japanese math teaching materials to the Common Core of the U.S. Courses of Study. We are honored to advance the implementation of this project as the initial pilot school, together with the teachers and students of John Muir Elementary School in San Francisco.

Unite Plan

This is a unit plan. You can understand the key elements of each lesson from this.

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Lesson Plan

Each activity includes cards to present to the students, worksheets, and instructions for the teacher.

As this also serves as a guide, it can be used for teaching right away. Moreover, it is easy to edit and adjust as needed.

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Lesson Card

There are three types of cards

white for teacher's presentations, blue for student activities, and green for teacher's instruction plans.

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multi media card

This is a multimedia teaching material, including photos, videos, PDFs, web interactive-apps, tests, etc. The cards can be enlarged by touching, and you can write on them or record audio.

Collective Thinking Board

従来の黒板をデジタル上のデスクトップで実現します。生徒の回答を先生のデスクトップに集めて、CTBシートの上に先生が、回答を比較してクラス全体と議論しながら、レクチャーできます。

to facilitate a whole class discussion

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Why LoiLoNote will be the best for TTP?

What is LoiLoNote?

LoiLoNote is the interactive lesson platform, specially designed for Student-Centered Learning. LoiLoNote makes it is easier for students to create ideas and share ideas with the whole class, creating time for whole-class learning. Also, highly flexibility as an educational and learning tool make it possible to nurture student's logical-thinking skill.

Benefits of Using LoiLoNote

to save time without having students rewrite solutions on the board

to promote collaborative learning among students through sharing other student's ideas immediately

Classroom applications

The possibilities are endless with the number of ideas from both teachers and students!

Here's some examples:

to distribute teaching materials

to collect student's answers and display them in a list

to displaying and comparing selected responses

to take a photo of notebook, printed worksheet, and so on.

to document the camera so you can annotate or add comment or contrasting couple of different approaches or switching each other

https://youtu.be/YKeNra6iQSw